Theorems · Definition · number theory
PadicComplex
(p : ℕ) → [hp : Fact (Nat.Prime p)] → Type
ℂ_[p] is the field of p-adic complex numbers, that is, the completion of PadicAlgCl p with
respect to the p-adic norm.
- Defined in
- Mathlib.NumberTheory.Padics.Complex
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 237 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- UniformSpace.Completionproof · cited by 192
- PadicAlgClproof · cited by 21
Cited by9
Results whose statement or proof uses this declaration.
- PadicComplex.coe_eqstatement · cited by 2
- PadicComplex.norm_eq_norm'statement and proof · cited by 1
- PadicComplexIntstatement · cited by 1
- PadicComplex.norm_eq_normstatement and proof · cited by 0
- PadicComplex.valuation_pstatement and proof · cited by 0
- PadicComplexInt.integersstatement · cited by 0
- PadicComplex.RankOne.hom_eq_embeddingstatement · cited by 0
- PadicComplex.coe_natCaststatement and proof · cited by 0
- PadicComplex.isNonarchimedeanstatement · cited by 0